SOL Practice After Writing Equations of Lines
1. Which equation is the slope intercept form of: -x + 6y = 12?
1
A. y = 6x + 2
−1
B. y = 6 x + 2
C. x = 6y – 12
D. 6y = 12 + x
2
2. Identify two equations for the line with slope 3 that passes through the point (4, -1).
One equation should be written in slope-intercept form. The other equation should
be written in standard form.
1
y=- x+
4
2
3
2
11
− 𝑥+𝑦=−
3
3
y = -4x +
2
2
y= x-
3
−𝟐𝒙 + 𝟑𝒚 = −𝟏𝟏
3
5
3
𝟐
𝟓
− 𝒙+𝒚=−
𝟑
𝟑
2
y= x–
3
11
3
𝟏𝟐𝒙 + 𝟑𝒚 = 𝟐
3. Which equation most likely describes the relation indicated by the table?
A.
B.
C.
D.
y=x+4
y=x–2
y = -x + 4
y = -x – 8
4. The volume of a rectangular solid is 960 cubic inches. The dimensions of the base
are 12 inches by 10 inches. What is the height of the solid? (V = lwh)
in.
5. A line has a slope of -2 and contains the point (1, -1). Which of the equations below
is an equation for this line?
A.
B.
C.
D.
y = -2x – 1
y = -x + 2
y = -2x + 1
y = 2x – 3
6. Which is an equation for the line that contains the points (-2, 3) and (2, -1)?
A.
B.
C.
D.
y=x+5
y=x–3
y = -x + 1
y = -2x – 1
7. The table shows the relationship between the cost, c, in dollars of a taxi ride and the
number, t, of minutes the ride lasts. Which equation algebraically represents this
data?
t
c
A.
B.
C.
D.
5
4.75
10
6.5
15
8.25
20
10
c = 3 + 0.35t
c = 2.75 + 0.5t
c = t – 0.25
c = 4 + 0.15t
8. The table gives the average per capita income, d, in a region of the county as a
function of the percent unemployed, u. Which equation represents this data
algebraically?
u
d
A.
B.
C.
D.
1
22,500
2
22,000
3
21,500
4
21,000
d = 20,000 + 1,000u
d = 22,000 + 500u
d = 23,000 – 500u
d = 25,000 – 1,500u
9. What is the range of the function f(x) = (x – 1)² when the domain is {-5, 0, 5}?
A.
B.
C.
D.
{1, 16, 36}
{1, 24}
{1, 26}
{-12, -2, 8}
10. If f(x) = -2x² + x – 5, what is f(3)?
11. The graph of the function f(x) = -3x + 3 is shown. What is the value of f(3)?
A.
B.
C.
D.
3
0
-2
-6
12. What is the range of the function of x graphed below?
A.
B.
C.
D.
{all real numbers < 3}
{all real numbers < -1}
{all real numbers between -6 and -1}
{all real numbers between -5 and 3}
13. Which equation best describes the graph below?
A.
B.
C.
D.
y = -x
y = 2x + 2
y=x–2
y=x+2